The Hamiltonian for a charged particle moving in a uniform magnetic field Bo which is directed along the z-axis is given by p² 2m Determine the equations of motion. H = q Bo 2m q² B² (.xpy - ypx) + (x² + y²) . 8m

The Hamiltonian for a charged particle moving in a uniform magnetic field Bo which is directed along the z-axis is given by p² 2m Determine the equations of motion. H = q Bo 2m q² B² (.xpy - ypx) + (x² + y²) . 8m

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 24P: A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

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The Hamiltonian for a charged particle moving in a uniform magnetic field Bo which is directed
along the z-axis is given by
H
2m
Determine the equations of motion.
q Bo
2m
(xpy - ypx) +
q²B²
8m
(x² + y²).

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